X. Cai et Fg. Yuan, STRESS EXPONENTS OF ASYMPTOTIC SOLUTIONS AT THE NOTCH TIP IN ANISOTROPIC POWER-LAW MATERIAL UNDER ANTIPLANE SHEAR, Engineering fracture mechanics, 53(2), 1996, pp. 153-167
The asymptotic stress field around a notch tip in an anisotropic power
law material subject to antiplane shear is investigated. An anisotrop
ic yield criterion and a flow rule are used to derive the anisotropic
constitutive relation for such materials. Two problems of different no
tch surface boundary conditions are considered for remote antiplane sh
ear loading. The stress exponents up to the first five terms of asympt
otic solutions are determined through a hodograph transformation and n
umerical method. The effects of notch angle and material anisotropy on
the stress exponents near the notch tip are discussed.